It depends on why they are abstaining from the substance! I am copying my reply to your other comment as it is relevant here, too:

"Chemical dependence is a necessary but insufficient precondition for addiction. Addiction is a biopsychosocial disorder & one needs a particular constellation of biological, psychological, & sociological symptoms or risk factors to be diagnosed...
...Being chemically dependent on something doesn't necessarily mean you're addicted to it.
Take the example I wrote about elsewhere in this thread. I am chemically dependent on my antidepressants. Meaning, if I stopped taking them, I would experience deleterious physical symptoms. However, I am not "addicted" to these medications as such, because, for one, I am not abusing them [I take them as prescribed], & taking these medications does not impact my ability to live my life or meet social or familial obligations, &c.
So, chemical dependence needs to be present to diagnose a substance use disorder, but chemical dependence on its own is insufficient to meet the criteria of substance use disorder."